Firstly, we compare the MDI-APR EoS with the applicable range of the proposed kerr parameter from Ref. [1]}, where the authors restraint it using an analytical relation connecting this property with the maximum mass of a non-rotating neutron star. The results shown that the MDI-APR EoS lies in the range of the gravitational mass of the low mass component, as well as the one for the kerr parameter. In fact, the MDI-APR EoS proposes that the \(\sim 2.6~M_{\odot }\)  compact star is a rapidly rotating neutron star, close to its mass-shedding limit.
